Greybody factor for D3-branes in B field
Abstract
We calculate the effect of noncommutative spacetime on the greybody factor on the supergravity side. For this purpose we introduce a system of D3-branes with a constant NS
B
-field along their world volume directions (
x
2
,
x
3
). Considering the propagation of minimally coupled scalar with non-zero momentum along(
x
2
,
x
3
), we derive an exact form of the greybody factor in
B
field. It turns out that
σ
B≠0
l
>
σ
B=0
l
. This means that the presence of
B
-field (the noncommutativity) suppresses the potential barrier surrounding the black hole. As a result, it comes out the increase of greybody factor.